Compact stellar model in higher torsion gravitational theory

Abstract

In this study, we address the issue of a spherically symmetrical interior solution to the quadratic form of $f(\mathcal{T})=\mathcal{T}+\epsilon {\mathcal{T}}^2$ gravitational theory using a physical tetrad that provides vanishing components of the off-components of the field equation, in contrast to what exists in the current literature. To be able to formulate the resulting differential equation in a closed form, we employ the Krori-Barua (KB) ansatz. Using the KB spacetime form, we derive the analytic form of the energy-density, radial, and tangential pressures and the anisotropic form. All of these quantities are affected by the dimensional parameter $\epsilon$, which causes them to have a noted difference from those given in the frame of Einstein general relativity. The derived model of this study exhibits a non-trivial form of torsion scalar, and it also contains three constants that we drew from the matching of the boundary condition with a line element that also features a non-trivial form of torsion scalar. Having established the physical conditions that are needed for any real stellar, we check our model and show in detail that it bypasses all of these. Finally, we analyze the model's stability utilizing the Tolman-Oppenheimer-Volkoff equation and adiabatic index and show that our model satisfies these.

17 Pages, 9 figures, 3 tables, Accepted in NPB. arXiv admin note: text overlap with arXiv:2010.06355

References in corpus (19)

• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• The teleparallel equivalent of general relativity
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Charged anisotropic matter with linear equation of state
• The role of pressure anisotropy on the maximum mass of cold compact stars
• Anisotropic Neutron Stars Modelling: Constraints in Krori-Barua Spacetime
• Modified Finch and Skea stellar model compatible with observational data
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• Charged Dilaton, Energy, Momentum and Angular-Momentum in Teleparallel Theory Equivalent to General Relativity
• On Einstein clusters as galactic dark matter halos
• Energy and momentum of a spherically symmetric dilaton frame as regularized by teleparallel gravity
• Generating static spherically symmetric anisotropic solutions of Einstein's equations from isotropic Newtonian solutions
• Anisotropic static solutions in modelling highly compact bodies
• Charge Gravastars in $f(T)$ Modified Gravity
• Evolving spheres of shear-free anisotropic fluid